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133424340 = 22357491647
BaseRepresentation
bin1111111001111…
…10010011010100
3100022001122210020
413330332103110
5233124034330
621123425140
73210042150
oct774762324
9308048706
10133424340
1169350755
12388251b0
132184731a
1413a12060
15baa8210
hex7f3e4d4

133424340 has 96 divisors (see below), whose sum is σ = 428488704. Its totient is φ = 30387840.

The previous prime is 133424339. The next prime is 133424351. The reversal of 133424340 is 43424331.

It is a nialpdrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 133424340.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 205897 + ... + 206543.

It is an arithmetic number, because the mean of its divisors is an integer number (4463424).

Almost surely, 2133424340 is an apocalyptic number.

133424340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133424340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214244352).

133424340 is an abundant number, since it is smaller than the sum of its proper divisors (295064364).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

133424340 is a wasteful number, since it uses less digits than its factorization.

133424340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1157 (or 1155 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 133424340 is about 11550.9454158523. The cubic root of 133424340 is about 510.9891606061.

Adding to 133424340 its reverse (43424331), we get a palindrome (176848671).

Subtracting from 133424340 its reverse (43424331), we obtain a palindrome (90000009).

The spelling of 133424340 in words is "one hundred thirty-three million, four hundred twenty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 491 647 982 1294 1473 1941 1964 2455 2588 2946 3235 3437 3882 4529 4910 5892 6470 6874 7365 7764 9058 9705 9820 10311 12940 13587 13748 14730 17185 18116 19410 20622 22645 27174 29460 34370 38820 41244 45290 51555 54348 67935 68740 90580 103110 135870 206220 271740 317677 635354 953031 1270708 1588385 1906062 2223739 3176770 3812124 4447478 4765155 6353540 6671217 8894956 9530310 11118695 13342434 19060620 22237390 26684868 33356085 44474780 66712170 133424340